Simplify the expression:

5(c+8)+c+3

distribute the 5 over the binomial (c + 8)

collect like terms

To simplify the expression 5(c+8)+c+3, we will apply the distributive property and combine like terms.

First, let's distribute the 5 to both terms inside the parentheses:

5 * c = 5c
5 * 8 = 40

Now, the expression becomes:

5c + 40 + c + 3

Next, let's combine the like terms.

Combine the terms with "c":

5c + c = 6c

Combine the constant terms:

40 + 3 = 43

Therefore, the simplified expression is:

6c + 43